This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A113331 #10 Sep 08 2024 13:50:47
%S A113331 1,6,72,900,11520,149904,1976400,26363232,355648320,4854292416,
%T A113331 67114780416,941774874624,13451571452160,196362144456192,
%U A113331 2945496714485760,45717104468689920,740282299231703040
%N A113331 a(n) = Sum_{k=0..n} 6^k*A111146(n,k).
%F A113331 G.f.: A(x) = 1/(1 - (1/20)*x*Sum_{k>=0} (k+5)!*x^k ).
%e A113331 A(x) = (1 + 6*x + 72*x^2 + 900*x^3 + 11520*x^4 + 149904*x^5 +..)
%e A113331 = 1/(1 - 6/5!*x*(5! + 6!*x + 7!*x^2 + 8!*x^3 + 9!*x^4 +..) ).
%o A113331 (PARI) {a(n)=local(y=6,x=X+X*O(X^n)); polcoeff(1/(1 - y/(y-1)!*x*sum(k=0,n,(y-1+k)!*x^k)),n,X)}
%Y A113331 Cf. A111146, A113326, A113327 (y=2), A113328 (y=3), A113329 (y=4), A113330 (y=5).
%K A113331 nonn
%O A113331 0,2
%A A113331 _Philippe Deléham_ and _Paul D. Hanna_, Oct 26 2005